If x^2 + 1/x^2 = 98 find x + 1/x
1 answer:
Given,
x
2
+
x
2
1
=98
(x+
x
1
)
2
=x
2
+
x
2
1
+2
98+2=100
∴x+
x
1
=10
(x+
x
1
)
3
=x
3
+
x
3
1
+3(x+
x
1
)
x
3
+
x
3
1
+3(x+
x
1
)=1000
x
3
+
x
3
1
=1000−3(10)=
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